TSTP Solution File: MGT041+2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sun Jul 17 21:57:51 EDT 2022

% Result   : Theorem 0.65s 1.03s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : MGT041+2 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Thu Jun  9 07:21:19 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.65/1.03  *** allocated 10000 integers for termspace/termends
% 0.65/1.03  *** allocated 10000 integers for clauses
% 0.65/1.03  *** allocated 10000 integers for justifications
% 0.65/1.03  Bliksem 1.12
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  Automatic Strategy Selection
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  Clauses:
% 0.65/1.03  
% 0.65/1.03  { ! number_of_routines( X, Y, low ), ! number_of_routines( X, Y, high ) }.
% 0.65/1.03  { ! organisation_at_time( X, Y ), ! efficient_producer( X ), ! 
% 0.65/1.03    founding_time( X, Y ), has_elaborated_routines( X, Y ) }.
% 0.65/1.03  { ! organisation_at_time( X, Y ), ! first_mover( X ), ! founding_time( X, Y
% 0.65/1.03     ), number_of_routines( X, Y, low ) }.
% 0.65/1.03  { organisation_at_time( skol1, skol2 ) }.
% 0.65/1.03  { founding_time( skol1, skol2 ) }.
% 0.65/1.03  { number_of_routines( skol1, skol2, high ) }.
% 0.65/1.03  { ! has_elaborated_routines( skol1, skol2 ) }.
% 0.65/1.03  { ! organisation_at_time( X, Y ), first_mover( X ), efficient_producer( X )
% 0.65/1.03     }.
% 0.65/1.03  
% 0.65/1.03  percentage equality = 0.000000, percentage horn = 0.875000
% 0.65/1.03  This a non-horn, non-equality problem
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  Options Used:
% 0.65/1.03  
% 0.65/1.03  useres =            1
% 0.65/1.03  useparamod =        0
% 0.65/1.03  useeqrefl =         0
% 0.65/1.03  useeqfact =         0
% 0.65/1.03  usefactor =         1
% 0.65/1.03  usesimpsplitting =  0
% 0.65/1.03  usesimpdemod =      0
% 0.65/1.03  usesimpres =        3
% 0.65/1.03  
% 0.65/1.03  resimpinuse      =  1000
% 0.65/1.03  resimpclauses =     20000
% 0.65/1.03  substype =          standard
% 0.65/1.03  backwardsubs =      1
% 0.65/1.03  selectoldest =      5
% 0.65/1.03  
% 0.65/1.03  litorderings [0] =  split
% 0.65/1.03  litorderings [1] =  liftord
% 0.65/1.03  
% 0.65/1.03  termordering =      none
% 0.65/1.03  
% 0.65/1.03  litapriori =        1
% 0.65/1.03  termapriori =       0
% 0.65/1.03  litaposteriori =    0
% 0.65/1.03  termaposteriori =   0
% 0.65/1.03  demodaposteriori =  0
% 0.65/1.03  ordereqreflfact =   0
% 0.65/1.03  
% 0.65/1.03  litselect =         none
% 0.65/1.03  
% 0.65/1.03  maxweight =         15
% 0.65/1.03  maxdepth =          30000
% 0.65/1.03  maxlength =         115
% 0.65/1.03  maxnrvars =         195
% 0.65/1.03  excuselevel =       1
% 0.65/1.03  increasemaxweight = 1
% 0.65/1.03  
% 0.65/1.03  maxselected =       10000000
% 0.65/1.03  maxnrclauses =      10000000
% 0.65/1.03  
% 0.65/1.03  showgenerated =    0
% 0.65/1.03  showkept =         0
% 0.65/1.03  showselected =     0
% 0.65/1.03  showdeleted =      0
% 0.65/1.03  showresimp =       1
% 0.65/1.03  showstatus =       2000
% 0.65/1.03  
% 0.65/1.03  prologoutput =     0
% 0.65/1.03  nrgoals =          5000000
% 0.65/1.03  totalproof =       1
% 0.65/1.03  
% 0.65/1.03  Symbols occurring in the translation:
% 0.65/1.03  
% 0.65/1.03  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.65/1.03  .  [1, 2]      (w:1, o:19, a:1, s:1, b:0), 
% 0.65/1.03  !  [4, 1]      (w:0, o:12, a:1, s:1, b:0), 
% 0.65/1.03  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.65/1.03  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.65/1.03  low  [37, 0]      (w:1, o:8, a:1, s:1, b:0), 
% 0.65/1.03  number_of_routines  [38, 3]      (w:1, o:46, a:1, s:1, b:0), 
% 0.65/1.03  high  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.65/1.03  organisation_at_time  [40, 2]      (w:1, o:43, a:1, s:1, b:0), 
% 0.65/1.03  efficient_producer  [41, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.65/1.03  founding_time  [42, 2]      (w:1, o:44, a:1, s:1, b:0), 
% 0.65/1.03  has_elaborated_routines  [43, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.65/1.03  first_mover  [44, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.65/1.03  skol1  [45, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.65/1.03  skol2  [46, 0]      (w:1, o:11, a:1, s:1, b:0).
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  Starting Search:
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  Bliksems!, er is een bewijs:
% 0.65/1.03  % SZS status Theorem
% 0.65/1.03  % SZS output start Refutation
% 0.65/1.03  
% 0.65/1.03  (0) {G0,W8,D2,L2,V2,M1} I { ! number_of_routines( X, Y, low ), ! 
% 0.65/1.03    number_of_routines( X, Y, high ) }.
% 0.65/1.03  (1) {G0,W11,D2,L4,V2,M1} I { ! efficient_producer( X ), ! 
% 0.65/1.03    organisation_at_time( X, Y ), ! founding_time( X, Y ), 
% 0.65/1.03    has_elaborated_routines( X, Y ) }.
% 0.65/1.03  (2) {G0,W12,D2,L4,V2,M1} I { ! first_mover( X ), ! organisation_at_time( X
% 0.65/1.03    , Y ), ! founding_time( X, Y ), number_of_routines( X, Y, low ) }.
% 0.65/1.03  (3) {G0,W3,D2,L1,V0,M1} I { organisation_at_time( skol1, skol2 ) }.
% 0.65/1.03  (4) {G0,W3,D2,L1,V0,M1} I { founding_time( skol1, skol2 ) }.
% 0.65/1.03  (5) {G0,W4,D2,L1,V0,M1} I { number_of_routines( skol1, skol2, high ) }.
% 0.65/1.03  (6) {G0,W3,D2,L1,V0,M1} I { ! has_elaborated_routines( skol1, skol2 ) }.
% 0.65/1.03  (7) {G0,W7,D2,L3,V2,M1} I { first_mover( X ), efficient_producer( X ), ! 
% 0.65/1.03    organisation_at_time( X, Y ) }.
% 0.65/1.03  (8) {G1,W4,D2,L2,V0,M1} R(7,3) { efficient_producer( skol1 ), first_mover( 
% 0.65/1.03    skol1 ) }.
% 0.65/1.03  (9) {G1,W4,D2,L1,V0,M1} R(0,5) { ! number_of_routines( skol1, skol2, low )
% 0.65/1.03     }.
% 0.65/1.03  (10) {G1,W5,D2,L2,V0,M1} R(1,6);r(3) { ! efficient_producer( skol1 ), ! 
% 0.65/1.03    founding_time( skol1, skol2 ) }.
% 0.65/1.03  (11) {G2,W2,D2,L1,V0,M1} S(10);r(4) { ! efficient_producer( skol1 ) }.
% 0.65/1.03  (12) {G2,W5,D2,L2,V0,M1} R(2,9);r(3) { ! first_mover( skol1 ), ! 
% 0.65/1.03    founding_time( skol1, skol2 ) }.
% 0.65/1.03  (13) {G3,W2,D2,L1,V0,M1} S(12);r(4) { ! first_mover( skol1 ) }.
% 0.65/1.03  (14) {G4,W0,D0,L0,V0,M0} R(13,8);r(11) {  }.
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  % SZS output end Refutation
% 0.65/1.03  found a proof!
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  Unprocessed initial clauses:
% 0.65/1.03  
% 0.65/1.03  (16) {G0,W8,D2,L2,V2,M2}  { ! number_of_routines( X, Y, low ), ! 
% 0.65/1.03    number_of_routines( X, Y, high ) }.
% 0.65/1.03  (17) {G0,W11,D2,L4,V2,M4}  { ! organisation_at_time( X, Y ), ! 
% 0.65/1.03    efficient_producer( X ), ! founding_time( X, Y ), has_elaborated_routines
% 0.65/1.03    ( X, Y ) }.
% 0.65/1.03  (18) {G0,W12,D2,L4,V2,M4}  { ! organisation_at_time( X, Y ), ! first_mover
% 0.65/1.03    ( X ), ! founding_time( X, Y ), number_of_routines( X, Y, low ) }.
% 0.65/1.03  (19) {G0,W3,D2,L1,V0,M1}  { organisation_at_time( skol1, skol2 ) }.
% 0.65/1.03  (20) {G0,W3,D2,L1,V0,M1}  { founding_time( skol1, skol2 ) }.
% 0.65/1.03  (21) {G0,W4,D2,L1,V0,M1}  { number_of_routines( skol1, skol2, high ) }.
% 0.65/1.03  (22) {G0,W3,D2,L1,V0,M1}  { ! has_elaborated_routines( skol1, skol2 ) }.
% 0.65/1.03  (23) {G0,W7,D2,L3,V2,M3}  { ! organisation_at_time( X, Y ), first_mover( X
% 0.65/1.03     ), efficient_producer( X ) }.
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  Total Proof:
% 0.65/1.03  
% 0.65/1.03  subsumption: (0) {G0,W8,D2,L2,V2,M1} I { ! number_of_routines( X, Y, low )
% 0.65/1.03    , ! number_of_routines( X, Y, high ) }.
% 0.65/1.03  parent0: (16) {G0,W8,D2,L2,V2,M2}  { ! number_of_routines( X, Y, low ), ! 
% 0.65/1.03    number_of_routines( X, Y, high ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03     X := X
% 0.65/1.03     Y := Y
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03     1 ==> 1
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (1) {G0,W11,D2,L4,V2,M1} I { ! efficient_producer( X ), ! 
% 0.65/1.03    organisation_at_time( X, Y ), ! founding_time( X, Y ), 
% 0.65/1.03    has_elaborated_routines( X, Y ) }.
% 0.65/1.03  parent0: (17) {G0,W11,D2,L4,V2,M4}  { ! organisation_at_time( X, Y ), ! 
% 0.65/1.03    efficient_producer( X ), ! founding_time( X, Y ), has_elaborated_routines
% 0.65/1.03    ( X, Y ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03     X := X
% 0.65/1.03     Y := Y
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 1
% 0.65/1.03     1 ==> 0
% 0.65/1.03     2 ==> 2
% 0.65/1.03     3 ==> 3
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (2) {G0,W12,D2,L4,V2,M1} I { ! first_mover( X ), ! 
% 0.65/1.03    organisation_at_time( X, Y ), ! founding_time( X, Y ), number_of_routines
% 0.65/1.03    ( X, Y, low ) }.
% 0.65/1.03  parent0: (18) {G0,W12,D2,L4,V2,M4}  { ! organisation_at_time( X, Y ), ! 
% 0.65/1.03    first_mover( X ), ! founding_time( X, Y ), number_of_routines( X, Y, low
% 0.65/1.03     ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03     X := X
% 0.65/1.03     Y := Y
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 1
% 0.65/1.03     1 ==> 0
% 0.65/1.03     2 ==> 2
% 0.65/1.03     3 ==> 3
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (3) {G0,W3,D2,L1,V0,M1} I { organisation_at_time( skol1, skol2
% 0.65/1.03     ) }.
% 0.65/1.03  parent0: (19) {G0,W3,D2,L1,V0,M1}  { organisation_at_time( skol1, skol2 )
% 0.65/1.03     }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (4) {G0,W3,D2,L1,V0,M1} I { founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent0: (20) {G0,W3,D2,L1,V0,M1}  { founding_time( skol1, skol2 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (5) {G0,W4,D2,L1,V0,M1} I { number_of_routines( skol1, skol2, 
% 0.65/1.03    high ) }.
% 0.65/1.03  parent0: (21) {G0,W4,D2,L1,V0,M1}  { number_of_routines( skol1, skol2, high
% 0.65/1.03     ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (6) {G0,W3,D2,L1,V0,M1} I { ! has_elaborated_routines( skol1, 
% 0.65/1.03    skol2 ) }.
% 0.65/1.03  parent0: (22) {G0,W3,D2,L1,V0,M1}  { ! has_elaborated_routines( skol1, 
% 0.65/1.03    skol2 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (7) {G0,W7,D2,L3,V2,M1} I { first_mover( X ), 
% 0.65/1.03    efficient_producer( X ), ! organisation_at_time( X, Y ) }.
% 0.65/1.03  parent0: (23) {G0,W7,D2,L3,V2,M3}  { ! organisation_at_time( X, Y ), 
% 0.65/1.03    first_mover( X ), efficient_producer( X ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03     X := X
% 0.65/1.03     Y := Y
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 2
% 0.65/1.03     1 ==> 0
% 0.65/1.03     2 ==> 1
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (24) {G1,W4,D2,L2,V0,M2}  { first_mover( skol1 ), 
% 0.65/1.03    efficient_producer( skol1 ) }.
% 0.65/1.03  parent0[2]: (7) {G0,W7,D2,L3,V2,M1} I { first_mover( X ), 
% 0.65/1.03    efficient_producer( X ), ! organisation_at_time( X, Y ) }.
% 0.65/1.03  parent1[0]: (3) {G0,W3,D2,L1,V0,M1} I { organisation_at_time( skol1, skol2
% 0.65/1.03     ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03     X := skol1
% 0.65/1.03     Y := skol2
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (8) {G1,W4,D2,L2,V0,M1} R(7,3) { efficient_producer( skol1 ), 
% 0.65/1.03    first_mover( skol1 ) }.
% 0.65/1.03  parent0: (24) {G1,W4,D2,L2,V0,M2}  { first_mover( skol1 ), 
% 0.65/1.03    efficient_producer( skol1 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 1
% 0.65/1.03     1 ==> 0
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (25) {G1,W4,D2,L1,V0,M1}  { ! number_of_routines( skol1, skol2
% 0.65/1.03    , low ) }.
% 0.65/1.03  parent0[1]: (0) {G0,W8,D2,L2,V2,M1} I { ! number_of_routines( X, Y, low ), 
% 0.65/1.03    ! number_of_routines( X, Y, high ) }.
% 0.65/1.03  parent1[0]: (5) {G0,W4,D2,L1,V0,M1} I { number_of_routines( skol1, skol2, 
% 0.65/1.03    high ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03     X := skol1
% 0.65/1.03     Y := skol2
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (9) {G1,W4,D2,L1,V0,M1} R(0,5) { ! number_of_routines( skol1, 
% 0.65/1.03    skol2, low ) }.
% 0.65/1.03  parent0: (25) {G1,W4,D2,L1,V0,M1}  { ! number_of_routines( skol1, skol2, 
% 0.65/1.03    low ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (26) {G1,W8,D2,L3,V0,M3}  { ! efficient_producer( skol1 ), ! 
% 0.65/1.03    organisation_at_time( skol1, skol2 ), ! founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent0[0]: (6) {G0,W3,D2,L1,V0,M1} I { ! has_elaborated_routines( skol1, 
% 0.65/1.03    skol2 ) }.
% 0.65/1.03  parent1[3]: (1) {G0,W11,D2,L4,V2,M1} I { ! efficient_producer( X ), ! 
% 0.65/1.03    organisation_at_time( X, Y ), ! founding_time( X, Y ), 
% 0.65/1.03    has_elaborated_routines( X, Y ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03     X := skol1
% 0.65/1.03     Y := skol2
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (27) {G1,W5,D2,L2,V0,M2}  { ! efficient_producer( skol1 ), ! 
% 0.65/1.03    founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent0[1]: (26) {G1,W8,D2,L3,V0,M3}  { ! efficient_producer( skol1 ), ! 
% 0.65/1.03    organisation_at_time( skol1, skol2 ), ! founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent1[0]: (3) {G0,W3,D2,L1,V0,M1} I { organisation_at_time( skol1, skol2
% 0.65/1.03     ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (10) {G1,W5,D2,L2,V0,M1} R(1,6);r(3) { ! efficient_producer( 
% 0.65/1.03    skol1 ), ! founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent0: (27) {G1,W5,D2,L2,V0,M2}  { ! efficient_producer( skol1 ), ! 
% 0.65/1.03    founding_time( skol1, skol2 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03     1 ==> 1
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (28) {G1,W2,D2,L1,V0,M1}  { ! efficient_producer( skol1 ) }.
% 0.65/1.03  parent0[1]: (10) {G1,W5,D2,L2,V0,M1} R(1,6);r(3) { ! efficient_producer( 
% 0.65/1.03    skol1 ), ! founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent1[0]: (4) {G0,W3,D2,L1,V0,M1} I { founding_time( skol1, skol2 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (11) {G2,W2,D2,L1,V0,M1} S(10);r(4) { ! efficient_producer( 
% 0.65/1.03    skol1 ) }.
% 0.65/1.03  parent0: (28) {G1,W2,D2,L1,V0,M1}  { ! efficient_producer( skol1 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (29) {G1,W8,D2,L3,V0,M3}  { ! first_mover( skol1 ), ! 
% 0.65/1.03    organisation_at_time( skol1, skol2 ), ! founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent0[0]: (9) {G1,W4,D2,L1,V0,M1} R(0,5) { ! number_of_routines( skol1, 
% 0.65/1.03    skol2, low ) }.
% 0.65/1.03  parent1[3]: (2) {G0,W12,D2,L4,V2,M1} I { ! first_mover( X ), ! 
% 0.65/1.03    organisation_at_time( X, Y ), ! founding_time( X, Y ), number_of_routines
% 0.65/1.03    ( X, Y, low ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03     X := skol1
% 0.65/1.03     Y := skol2
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (30) {G1,W5,D2,L2,V0,M2}  { ! first_mover( skol1 ), ! 
% 0.65/1.03    founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent0[1]: (29) {G1,W8,D2,L3,V0,M3}  { ! first_mover( skol1 ), ! 
% 0.65/1.03    organisation_at_time( skol1, skol2 ), ! founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent1[0]: (3) {G0,W3,D2,L1,V0,M1} I { organisation_at_time( skol1, skol2
% 0.65/1.03     ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (12) {G2,W5,D2,L2,V0,M1} R(2,9);r(3) { ! first_mover( skol1 )
% 0.65/1.03    , ! founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent0: (30) {G1,W5,D2,L2,V0,M2}  { ! first_mover( skol1 ), ! 
% 0.65/1.03    founding_time( skol1, skol2 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03     1 ==> 1
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (31) {G1,W2,D2,L1,V0,M1}  { ! first_mover( skol1 ) }.
% 0.65/1.03  parent0[1]: (12) {G2,W5,D2,L2,V0,M1} R(2,9);r(3) { ! first_mover( skol1 ), 
% 0.65/1.03    ! founding_time( skol1, skol2 ) }.
% 0.65/1.03  parent1[0]: (4) {G0,W3,D2,L1,V0,M1} I { founding_time( skol1, skol2 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (13) {G3,W2,D2,L1,V0,M1} S(12);r(4) { ! first_mover( skol1 )
% 0.65/1.03     }.
% 0.65/1.03  parent0: (31) {G1,W2,D2,L1,V0,M1}  { ! first_mover( skol1 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03     0 ==> 0
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (32) {G2,W2,D2,L1,V0,M1}  { efficient_producer( skol1 ) }.
% 0.65/1.03  parent0[0]: (13) {G3,W2,D2,L1,V0,M1} S(12);r(4) { ! first_mover( skol1 )
% 0.65/1.03     }.
% 0.65/1.03  parent1[1]: (8) {G1,W4,D2,L2,V0,M1} R(7,3) { efficient_producer( skol1 ), 
% 0.65/1.03    first_mover( skol1 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  resolution: (33) {G3,W0,D0,L0,V0,M0}  {  }.
% 0.65/1.03  parent0[0]: (11) {G2,W2,D2,L1,V0,M1} S(10);r(4) { ! efficient_producer( 
% 0.65/1.03    skol1 ) }.
% 0.65/1.03  parent1[0]: (32) {G2,W2,D2,L1,V0,M1}  { efficient_producer( skol1 ) }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  substitution1:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  subsumption: (14) {G4,W0,D0,L0,V0,M0} R(13,8);r(11) {  }.
% 0.65/1.03  parent0: (33) {G3,W0,D0,L0,V0,M0}  {  }.
% 0.65/1.03  substitution0:
% 0.65/1.03  end
% 0.65/1.03  permutation0:
% 0.65/1.03  end
% 0.65/1.03  
% 0.65/1.03  Proof check complete!
% 0.65/1.03  
% 0.65/1.03  Memory use:
% 0.65/1.03  
% 0.65/1.03  space for terms:        265
% 0.65/1.03  space for clauses:      824
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  clauses generated:      15
% 0.65/1.03  clauses kept:           15
% 0.65/1.03  clauses selected:       12
% 0.65/1.03  clauses deleted:        2
% 0.65/1.03  clauses inuse deleted:  0
% 0.65/1.03  
% 0.65/1.03  subsentry:          0
% 0.65/1.03  literals s-matched: 0
% 0.65/1.03  literals matched:   0
% 0.65/1.03  full subsumption:   0
% 0.65/1.03  
% 0.65/1.03  checksum:           -2013135752
% 0.65/1.03  
% 0.65/1.03  
% 0.65/1.03  Bliksem ended
%------------------------------------------------------------------------------